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Finding the Fourth Proportional to 228.06, 312.30 and 218.88

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Solution

The fourth proportional to 228.06, 312.30 and 218.88 is: 299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.06 : 312.30 = 218.88 : x
  2. Step 2: Convert to fraction form
    228.06/312.30 = 218.88/x
  3. Step 3: Cross multiply
    228.06x = 312.30 × 218.88
  4. Step 4: Simplify right side
    228.06x = 68,356.22
  5. Step 5: Solve for x
    x = 68,356.22/228.06
  6. Step 6: Final answer
    x = 299.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.